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5405054054400 = 212355272111331
BaseRepresentation
bin100111010100111011001…
…0100111011000000000000
3201010201101111210001200000
41032221312110323000000
51202024022314220100
615255014134400000
71065334164262500
oct116516624730000
921121344701600
105405054054400
1117a42a8116820
12733651800000
13302904808b30
1414986ac7ba00
15958e7b9c900
hex4ea7653b000

5405054054400 has 5616 divisors, whose sum is σ = 28322665233408. Its totient is φ = 1003290624000.

The previous prime is 5405054054273. The next prime is 5405054054419. The reversal of 5405054054400 is 44504505045.

It is a tau number, because it is divible by the number of its divisors (5616).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 174356582385 + ... + 174356582415.

Almost surely, 25405054054400 is an apocalyptic number.

5405054054400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5405054054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14161332616704).

5405054054400 is an abundant number, since it is smaller than the sum of its proper divisors (22917611179008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5405054054400 is a wasteful number, since it uses less digits than its factorization.

5405054054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

Adding to 5405054054400 its reverse (44504505045), we get a palindrome (5449558559445).

The spelling of 5405054054400 in words is "five trillion, four hundred five billion, fifty-four million, fifty-four thousand, four hundred".